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Burgers-Type Equations with Nonlinear Amplification: Front Motion and Blow-Upстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 7 июля 2020 г.
- Автор: Nefedov N.N.
- Журнал: Trends in Mathematics
- Номер: 11
- Год издания: 2019
- Первая страница: 265
- Последняя страница: 270
- DOI: 10.1007/978-3-030-25261-8_39
- Аннотация: Abstract Recent results for some classes of initial boundary value problem for some classes of Burgers-type equations, for which we investigate moving fronts by using the developed comparison technique, are presented. There are also presented our recent results on singularly perturbed reaction–advection–diffusion problems, which are based on a further development of the asymptotic comparison principle. An asymptotic approximation of solutions with a moving front is constructed in the case of modular and quadratic nonlinearity and nonlinear amplification. The influence exerted by nonlinear amplification on front propagation and collapse is determined. The front localization and the collapse time are estimated.
- Добавил в систему: Нефедов Николай Николаевич